Question: How do I get Maple to simplify this function?

f(x) = (a((ax+b)/(cx-a))+b)/(c((ax+b)/(cx-a))-a)

The homework assignment asked me to simplify this function. It turns out that I was able to simplify it all the way down to f(x) = x by hand. However, I cannot seem to get Maple to simplify it any further than the original problem. Any ideas? Thanks, Brandon

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